Solve the equation.
2 StartAbsoluteValue x minus 8 EndAbsoluteValue equals 4
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Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
xequals
enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation, we can start by isolating the absolute value term by dividing both sides by 2:
| x - 4 | = 2
This equation can be satisfied by two cases:
1) x - 4 = 2
Solving for x, we get x = 6.
2) x - 4 = -2
Solving for x, we get x = 2.
Therefore, the equation has two solutions: x = 6 and x = 2.
Answer: A. x = 6, 2